@Article{JPDE-30-95,
author = {Peng , Xiuyan and Niu , Yi},
title = {Sharp Conditions on Global Existence and Non-Global Existence of Solutions of Cauchy Problem for 1D Generalized Boussinesq Equations.},
journal = {Journal of Partial Differential Equations},
year = {2017},
volume = {30},
number = {2},
pages = {95--110},
abstract = { This paper consider the Cauchy problemfor a class of 1Dgeneralized Boussinesq equations u<sub>tt</sub>-u<sub>xx</sub>-u<sub>xxtt</sub>+u<sub>xxxx</sub>+u<sub>xxxxtt</sub>= f(u)<sub>xx</sub>. By utilizing the potential well method and giving some conditions on f(u), we obtain the invariance of some sets and obtain the threshold result of global existence and nonexistence of solutions.},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v30.n2.1},
url = {http://global-sci.org/intro/article_detail/jpde/10001.html}
}